COMPUTER FUNDAMENTALS

DATA REPRESENTATION AND NUMBER SYSTEMS

BINARY OCTAL DECIMAL AND HEXADECIMAL NUMBER SYSTEMS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Convert the binary number 1110 1011 to Hex .
A
EA
B
EB
C
BA
D
BC
Explanation: 

Detailed explanation-1: -Explanation: In hexadecimal number system, 1110 = 15, which is represented by the alphabet E. F 15.

Detailed explanation-2: -Example − Convert binary number 1101010 into hexadecimal number. First convert this into decimal number: = (1101010)2 = 1x26+1x25+0x24+1x23+0x22+1x21+0x20 = 64+32+0+8+0+2+0 = (106)10 Then, convert it into hexadecimal number = (106)10 = 6x161+10x160 = (6A)16 which is answer.

Detailed explanation-3: -Start at the rightmost digit and break the binary number up into groups of four digits. These are known as nibbles . Next, convert each group of four digits into decimal. Convert each decimal value into its hex equivalent. Put the hex digits together.

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