Question

convert 5C7E.F92 hexadecimal to octal​

Answer 1

Answer:

tep 1: Look up each hexadecimal digit to obtain the equivalent group of four binary digits. You can use the table below to make these conversions.

Hexa 0 1 2 3 4 5 6 7

Bin: 0000 0001 0010 0011 0100 0101 0110 0111

Hexa 8 9 A B C D E F

Bin: 1000 1001 1010 1011 1100 1101 1110 1111

(7)16 = (0111)2

(F)16 = (1111)2

Step 2: Group each value and remove zeros at left (if necessary) to get the partial result in base 2:

0111 1111 = 1111111

So, (7F)16 = (1111111)2

Step 3: Rearange all the digits in sets of three starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of three.

001 111 111

Step 4: Use the table below to convert each set of three into an octal digit. In this case,

001=1, 111=7, 111=7.

So, 177 is the octal equivalent of hexadecimal number 7F (Answer).