The hexadecimal number A538 is equivalent to<\/p>\n
[amp_mcq option1=”10538″ option2=”26435″ option3=”26438″ option4=”10535″ correct=”option3″]<\/p>\n
For the hexadecimal number A538:
\nA is the leftmost digit, in the $16^3$ position. A = 10.
\n5 is in the $16^2$ position.
\n3 is in the $16^1$ position.
\n8 is the rightmost digit, in the $16^0$ position.<\/p>\n
Decimal equivalent = $(A \\times 16^3) + (5 \\times 16^2) + (3 \\times 16^1) + (8 \\times 16^0)$
\n= $(10 \\times 4096) + (5 \\times 256) + (3 \\times 16) + (8 \\times 1)$
\n= $40960 + 1280 + 48 + 8$
\n= $42296$.<\/p>\n
However, the result 42296 is not among the given options. It appears there might be a transcription error in the question’s hexadecimal number or the provided options. Let’s examine the options assuming one of them is correct and try to identify a possible intended question.
\nOption C is 26438. Let’s see which hexadecimal number converts to 26438:
\n$26438 \\div 16 = 1652$ remainder 6
\n$1652 \\div 16 = 103$ remainder 4
\n$103 \\div 16 = 6$ remainder 7
\n$6 \\div 16 = 0$ remainder 6
\nReading the remainders from bottom up, the hexadecimal equivalent of 26438 is 6746.<\/p>\n