Computer Number System Questions with Solutions
Computers store and process all data in binary, using only the digits 0 and 1. This topic covers the four number systems used in computing: binary (base 2), octal (base 8), decimal (base 10) and hexadecimal (base 16, using digits 0 to 9 and letters A to F). It covers converting numbers between these systems, binary arithmetic (addition, subtraction, multiplication and division), and complements (1's and 2's complement) used to represent negative numbers. The fastest conversions go through binary. Each octal digit equals a group of three binary digits, and each hexadecimal digit equals a group of four. To convert decimal to binary, divide by 2 repeatedly and read the remainders from bottom to top. Character encoding schemes such as ASCII and Unicode are also covered at a basic level. Practise the computer number system questions below, each with a step-by-step conversion.
- Q41.
The octal equivalent of is:
A. 513B. 351C. 531D. 541easyView solution āŗ - Q42.
in octal is:
A. 663B. 336C. 333D. 633easyView solution āŗ - Q43.
in hexadecimal is:
A. FF0B. F1FC. E0FD. F0FeasyView solution āŗ - Q44.
in binary is:
A. 10011011B. 10111001C. 10111010D. 11011001easyView solution āŗ - Q45.
The largest 3-digit octal number, in decimal, is:
A. 511B. 512C. 777D. 999easyView solution āŗ - Q46.
The binary equivalent of is
A. B. C. D.easyAsked in NIMCET 2020View solution āŗ - Q47.
The logic XOR operation of and results
A. AACBB. 0000C. FFFFD. ABCDeasyAsked in NIMCET 2020View solution āŗ - Q48.
The number is equivalent to
A. B. C. D.easyAsked in NIMCET 2021View solution āŗ - Q49.
The binary multiplication 00 Ć 11 will give
A. 11B. 00C. 01D. 10easyAsked in NIMCET 2021View solution āŗ - Q50.
The maximum and minimum values represented in signed 16-bit 2's complement representation are
A. -16384 and 16383B. 0 and 32767C. 0 and 65535D. -32768 and 32767easyAsked in NIMCET 2022View solution āŗ - Q51.
'Floating point representation' is used to represent
A. IntegersB. Whole NumbersC. Real NumbersD. Boolean ValueseasyAsked in NIMCET 2022View solution āŗ - Q52.
The decimal equivalent of the hexadecimal operation A10 + B21 is
A. 5425B. 5246C. 2849D. 5344easyAsked in NIMCET 2014View solution āŗ - Q53.
What is the 2's complement of 0011 0101 1001 1100?
A. 1100 1010 1100 1011B. 1100 1010 0110 0011C. 1100 1010 0110 0100D. 1100 1010 1111 1111easyAsked in NIMCET 2014View solution āŗ - Q54.
Multiplication of by is
A. B. C. D.easyAsked in NIMCET 2014View solution āŗ - Q55.
What is the 8 bit 2's complement representation of the negative integer ā93?
A. 10100011B. 10100010C. 0XA2D. None of theseeasyAsked in NIMCET 2014View solution āŗ - Q56.
How many bytes are there in a nibble?
A. one-fourthB. halfC. 2D. 4easyAsked in NIMCET 2014View solution āŗ - Q57.
The result of multiplication of the numbers and in hexadecimal form is
A. 609B. 216C. 261D. 906easyAsked in NIMCET 2014View solution āŗ - Q58.
Which of the following is the representation of decimal number (ā147) in 2's complement notation on a 12-bit machine?
A. 111101101100B. 110001001101C. 111101101101D. 000001101101easyAsked in NIMCET 2017View solution āŗ - Q59.
The smallest integer that can be represented by an 8 bit number in 2's complement form is
A. ā256B. ā128C. ā127D. ā255easyAsked in NIMCET 2017View solution āŗ - Q60.
What are the values of and respectively in the expression ?
A. 8, 16B. 16, 8C. 8, 12D. 16, 12easyAsked in NIMCET 2018View solution āŗ