Binary To Decimal

Routine Summary

Converts a binary (base 2) number to a decimal (base 10) number.

Inputs

Ans - The binary number that you want to convert expressed as a list, stored in Ans.

Outputs

Ans - The decimal representation of the binary number.

Variables Used

Ans, A

Calculator Compatibility

TI-83/84/+/SE

Author

imcoraline

:sum(seq(Ans(dim(Ans)-A)2^A,A,0,dim(Ans)-1

This routine takes a positive whole binary number (base 2), expressed as a list, and converts it to the equivalent decimal (base 10) representation. To express a binary number in a list, you simply put commas in between each digit, and then surround that with list brackets. For example, the binary number 101101 expressed a list would be {1,0,1,1,0,1}. To learn how to convert a binary number to a decimal number, vice versa, and even see how to convert to and from other bases besides binary and decimal, see the Binary and Hexadecimal page.

It also may be important to note that adding 0’s to the front of a binary number will not change the decimal equivalent. For example, both 0110101₂ and 110101₂ are equivalent to 53₁₀.

Error Conditions

• ERR:DATA TYPE is thrown if the list has an imaginary number in it.
• An error will not be thrown the list is not a binary number, or if any element in the list is negative or non-whole. Nonetheless, the conversion will not work correctly.

Related Routines

• Decimal to Binary
• Binary Data Compression

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