Question

Find decimal equivalent of (5653)8​

Answer 1

Answer:

2987

Explanation:

$5653 = 5 * 8^{3} + 6 * 8^{2} + 5 * 8^{1} + 3 * 8^{0} \\          = 2560 + 384 + 40 + 3 \\          = 2987$

Answer 2

The Decimal equivalent of ( $5653_{8}$) is 2987​

Explanation:

The ( $5653_{8}$) is the Octal number in which 5653 is a number and 8 is a base of that number. It is because base 8 represents the octal number system which can be changed in decimal number by some processor. The processor to change ( $5653_{8}$) number in decimal is as follows--

$5\times8^{3} +6\times8^{2} +5\times8^{1} +3\times8^{0}$ (multiply the octal number by base of 8)

$=5\times512+6\times64+5\times8+3\times1$

$=2560+384+40+3$

$=2987$

Hence the decimal number is 2987 which can be written like-- $2987_{10}$

Learn More:

• Octal Number System: https://brainly.in/question/9870644
• Decimal number system​: https://brainly.in/question/11316146